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Geometry and topology
On discretization of parabolic coordinates
E. I. Shamaevab a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Ammosov North-Eastern Federal University, str. Kulakovskogo, 48,
677000, Yakutsk, Russia
Abstract:
In this paper we consider a problem of construction of discrete analogues of orthogonal curvilinear coordinate systems in the Euclidean space. In particular we find algebraic-geometric spectral data for discrete analogues of the parabolic coordinate system and the spiral coordinate system.
Keywords:
discrete integrability, Baker–Akhiezer function, Darboux–Egoroff lattice, parabolic coordinate system, spiral coordinate system.
Received November 28, 2016, published December 8, 2016
Citation:
E. I. Shamaev, “On discretization of parabolic coordinates”, Sib. Èlektron. Mat. Izv., 13 (2016), 1159–1169
Linking options:
https://www.mathnet.ru/eng/semr741 https://www.mathnet.ru/eng/semr/v13/p1159
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Abstract page: | 198 | Full-text PDF : | 58 | References: | 40 |
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